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Finding the Fourth Proportional to 412.32, 617.02 and 258.32

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Solution

The fourth proportional to 412.32, 617.02 and 258.32 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 617.02 = 258.32 : x
  2. Step 2: Convert to fraction form
    412.32/617.02 = 258.32/x
  3. Step 3: Cross multiply
    412.32x = 617.02 × 258.32
  4. Step 4: Simplify right side
    412.32x = 159,388.61
  5. Step 5: Solve for x
    x = 159,388.61/412.32
  6. Step 6: Final answer
    x = 386.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.